Technical Brief

Dislocation Formation From a Polycrystal Free-Surface

[+] Author and Article Information
Jérôme Colin

Institut P',
Université de Poitiers,
SP2MI-Téléport 2,
Futuroscope-Chasseneuil Cedex F86962, France
e-mail: jerome.colin@univ-poitiers.fr

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received July 9, 2018; final manuscript received September 18, 2018; published online October 10, 2018. Editor: Yonggang Huang.

J. Appl. Mech 86(1), 014501 (Oct 10, 2018) (3 pages) Paper No: JAM-18-1392; doi: 10.1115/1.4041549 History: Received July 09, 2018; Revised September 18, 2018

The introduction of a dislocation from the free-surface of a grain A of a polycrystal has been investigated from the theoretical point of view. Assuming two disclination dipoles are lying in a high angle boundary separating the corresponding grain A and a neighbor grain B, the equilibrium position of the dislocation has been determined in the grain A versus the separation distance between the two dipoles, the length and strength of each dipole.

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Grahic Jump Location
Fig. 1

A high angle grain boundary between two grains A and B is located at a distance h from the free surface of a polycrystalline solid. Two dipoles of disclinations of length L and strength ±ω are introduced in the boundary and are separated of a distance 2d. An edge dislocation of Burgers vector (b, 0) is introduced in the grain A from the free-surface at a position (−p, 0).

Grahic Jump Location
Fig. 2

Reduced total energy variation ΔẼtot versus the dimensionless dislocation position p̃ for different values of the separation distance between the two dipoles, with ω=15 deg, L̃=100, and h̃=500

Grahic Jump Location
Fig. 3

Stable equilibrium position p̃eq of the dislocation versus d̃, with ω=15 deg, L̃=200, and h̃=500

Grahic Jump Location
Fig. 4

Stable equilibrium position p̃eq of the dislocation versus the dipole length L̃, with ω=15 deg, d̃=50, and h̃=500

Grahic Jump Location
Fig. 5

Stability diagram in the (L̃,d̃) plane with respect to the introduction of a dislocation in the grain A for ω = 10 deg, 15 deg, and 30 deg, with h̃=500. In region 1, the dislocation introduction is favorable, in region 2, it is not.



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